The methodology of choosing the parameters of strengthening the structural elements of the bearing surfaces of aircraft is presented in the article. Using mathematical methods of deformable solids, a mathematical model of processing elements of aircraft is built, which will be much more resistant to external mechanical impact. To give the surface water-repellent and anti-icing properties, surface treatment with highly concentrated energy flows can be used, followed by its strengthening. Such technologies include laser irradiation, plasma flux, electron beam, light beam, and ion flux. The proposed model is based on the problem of determining the technological parameters of the impact of concentrated energy flow on the surface of the part in order to determine with high accuracy the area of hardening and forecasting of zones of plastic deformation. The precision of determining these parameters is justified by taking into account the problem of dependence of physical and mechanical characteristics of the material on temperature - thermal sensitivity of the material. As these technologies involve significant changes in temperature values, taking into account temperature dependences is an important factor. The proposed methodology of determining the parameters is an actual task and is based on the solution of nonlinear problems, as well as allows you to create more accurate models of physical processes and provides reliability.